The Yamabe problem on subdomains of even-dimensional spheres

Frank Pacard
1995 Topological Methods in Nonlinear Analysis  
Dedicated to Louis Nirenberg on the occasion of his 70th birthday We prove the existence of complete conformally flat metrics of constant positive scalar curvature on the complement in S n of a finite number of (n − 2)/2dimensional smooth submanifolds, provided n ≥ 4 is even.
doi:10.12775/tmna.1995.036 fatcat:5qmroeuravhw5opea2cnh73r4q